The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B. Company A 34 59 43 30 3 32 42 85 30 48 110 50 10 26 70 52 83 78 27 70 27 90 38 52 76 Company B 44 63 43 34 67 104 45 28 38 84 76 45 33 49 63 43 36 34 65 65 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let ?1 = population mean minutes late for delayed Company A flights and ?2 = population mean minutes late for delayed Company B flights.) H0: ?1 − ?2 ≥ 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 < 0 Ha: ?1 − ?2 = 0 H0: ?1 − ?2 ≠ 0 Ha: ?1 − ?2 = 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 ≤ 0 Ha: ?1 − ?2 > 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? Company A( min) Company B( min) (c) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 82E

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The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B.

Company A

34	59	43	30	3
32	42	85	30	48
110	50	10	26	70
52	83	78	27	70
27	90	38	52	76

Company B

44	63	43	34	67
104	45	28	38	84
76	45	33	49	63
43	36	34	65	65

(a)

Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let ?₁ = population mean minutes late for delayed Company A flights and ?₂ = population mean minutes late for delayed Company B flights.)

H₀: ?₁ − ?₂ ≥ 0

H_a: ?₁ − ?₂ < 0

H₀: ?₁ − ?₂ < 0

H_a: ?₁ − ?₂ = 0

H₀: ?₁ − ?₂ ≠ 0

H_a: ?₁ − ?₂ = 0

H₀: ?₁ − ?₂ = 0

H_a: ?₁ − ?₂ ≠ 0

H₀: ?₁ − ?₂ ≤ 0

H_a: ?₁ − ?₂ > 0

(b)

What is the sample mean number of minutes late for delayed flights for each of these two airlines?

Company A( min)

Company B( min)

(c)

Calculate the test statistic. (Round your answer to three decimal places.)

What is the p-value? (Round your answer to four decimal places.)

p-value =

Using a 0.05 level of significance, what is your conclusion?

Reject H₀. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Do not Reject H₀. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.

Reject H₀. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.

Do not reject H₀. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

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